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Finding the Fourth Proportional to 1,126.27, 1,689.39 and 346.29

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Solution

The fourth proportional to 1,126.27, 1,689.39 and 346.29 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.27 : 1,689.39 = 346.29 : x
  2. Step 2: Convert to fraction form
    1,126.27/1,689.39 = 346.29/x
  3. Step 3: Cross multiply
    1,126.27x = 1,689.39 × 346.29
  4. Step 4: Simplify right side
    1,126.27x = 585,018.86
  5. Step 5: Solve for x
    x = 585,018.86/1,126.27
  6. Step 6: Final answer
    x = 519.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.